Given the function f(x) = 3-5x, evaluate the number f-¹(1).

Q: 6. Determine the equation of the tangent to y = xe* + e* +1 at x = 1.

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Q: Solve the equation: sin(2x) - cos(2x) = 1 over the interval [0, 2π).

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Q: 23. √x dx 25. L sin Ꮎ dᎾ J0/6 dx 24. fx-2/36 ·L₁7 dx 26.

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Q: We will evaluate the following improper integral: I [ª da (22+4)2 First we will do the indefinite…

A: We solve this integration problem by using general property of integral.

Q: 11. g(t) = 1 (2t + 1)²

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Q: Find the indefinite integral using integration by parts with the given choices of u and dv. (Use C…

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Q: For the given function, complete parts (a) through (f) below. f(x,y)=25x² +9y² O A. For f(x,y) = 0,…

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Q: Write an iterated integral for da over the region R R described to the right using a. vertical…

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Q: For each of the following integrals find an appropriate trigonometric substitution of the form x =…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: dy Solve the given differential equation by using an appropriate substitution. The DE is of the form…

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Q: In Exercises 17-22, use the nth Term Divergence Test (Theorem 4) to prove that the following series…

A: The given series is:

Q: For what values of x does the series converge conditionally? Σ n=1 (x+10) √n

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 4x², x = 1, x = 2 and y…

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Q: Find an equation for and sketch the graph of the level curve of the function f(x,y) that passes…

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Q: d Determine √√sin√x dx

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Q: n n=21n3 + 1 +1 39. Σ

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Q: S x cos 2x dx

A: We are required to find:

Q: Given that 5 -3 5 1 -1 M = 0 ONM = ONM = ONM and N = - 19 20 -17 0 [41] 4 -1 1 [20 [198] 20 -18 119…

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Q: The first image does not load

A: First part is solved in the first image. So, solving the part a for the first image.Given:

Q: Slus 21 1 e - 15. lim 1-0 sin t

A: according to bartleby guide line we do only first part of multiple questions.(15)

Q: ²1+²² dt 17. y=0 tane de Ꮎ dᎾ 15. y= 16. y -cos²0 de 18. y =√1 + 1² dt - L.

A: We have to Determine the derivative of the function.

Q: c. SET-UP only the definite integral that will give the area of the region bounded by y = x√x² + 1,…

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Q: 27. (u + 2)(n-3) du 29. f. 2+² dx 28. f*(4-1)√1 dt 30. f²₁ (3u-2)(u + 1) du

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Q: 1. Describe in words the region of R³ represented by the equation or inequalitie (a) -1<r<5

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Q: Using the rhombus ABCD, represent the following vector combinations as another vector in the…

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Q: a) The graph of y = 4sin (x) has many tangents with a slope of 4. b)________ Another way of…

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Q: Write an iterated triple integral in the order dz dy dx for the volume of the tetrahedron cut from…

A: To write an iterated triple integral in the order dz dy dx for the volume of the tetrahedron cut…

Q: 29 J2 1 √√x-2 dx.

A: Whole solution is given below.

Q: Evaluate the integral. (Use C for the constant of integration.) [s sin5(t) cos6(t) dt

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Q: the second image is not loading?

A: Here we will use the ratio test for convergence of series

Q: (1) f(-3) ENV 6311

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Q: Given vectors ā=(3,-2,7) and b = (2,-1,2) a. Determine the area of the parallelogram defined by a…

A: Note:-Since you asked multiples subparts, according to our policy we can solve only first three…

Q: Given the function h(x)= x(x-4)', find the following characteristics of its graph. Critical point(s)

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Q: Find an equation of the tangent line and normal line to the curve 2 of f(x) f(x). = X -√x + 5x² at…

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Q: 1 -1 √1-y² 0 X [Q² + y 0 (x² + y²) dz dx dy

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Q: 1) Find: lim x→ 4 x² - 16

A: We are required to find:

Q: Find the tangential and normal components of the acceleration vector. r(t) = cos(t) i + sin(t) j +…

A: We have to find the tangential and normal components of the acceleration…

Q: A 9-ft pendulum swings through an angle of 40° 36'. What is the length of the arc that the tip of…

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1)k+1 k5/4…

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Q: To produce x units of a religious medal costs C(x)= 12x+63. The revenue is R(x) = 33x. Both cost and…

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Q: 3. Evaluate fxd4, where D is the region bounded above by the line y = x and below by the circle D x²…

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Q: A region bounded by f(x)=√x + 2, y = 1, x = 1, and x = 4 is shown below. Find the volume of the…

A: Given that ,Find the volume of solid.

Q: Classify the ser The series is extbook k=1 solutely cogent, conditionally convergent, or dive Use…

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Q: In Exercises 23-38, either use the formula for the sum of a geometric series to find the sum, or…

A: The given series is? 1+1/6+1/62+1/63+...Find the sum and the series is converges or diverges.

Q: 5. Find the magnitude of the resultant force and the angle it makes with the positive x-axis. у л 0…

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Q: b. Then use • fff(x,y) dx dy = fff(g(u.v) h(u,v))| J(u.v) du dv to transform the integral dy dx into…

A: Region G: By using the transformation  to transform the integral  into an integral over G and to…

Q: A Find T, N, and x for the plane curve r(t) = 5 In(sec t)i + 5tj. -<t</

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Q: The base of a three-dimensional figure is bound by the line y = √x-1 on the interval [1, 5].…

A: Equation of line y=

Q: 1. The graph of y=f(x) is shown below. Sketch the graph of its derivative function. y = f(x)

A: Given :-  The graph of  is shown below.

Q: Find the indefinite integral. (Use C for the constant of integration.) -7 (x? + +7)3/2 dx

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